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Finding the Fourth Proportional to 299,396.52, 413,166.96 and 165,260.52

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Solution

The fourth proportional to 299,396.52, 413,166.96 and 165,260.52 is: 228,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,396.52 : 413,166.96 = 165,260.52 : x
  2. Step 2: Convert to fraction form
    299,396.52/413,166.96 = 165,260.52/x
  3. Step 3: Cross multiply
    299,396.52x = 413,166.96 × 165,260.52
  4. Step 4: Simplify right side
    299,396.52x = 68,280,186,656.42
  5. Step 5: Solve for x
    x = 68,280,186,656.42/299,396.52
  6. Step 6: Final answer
    x = 228,059.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.